Question

Find the value of x if ∡A and ∡B are supplementary angles.

∡ C = (3x - 44)° ∡ D = (5x - 20)°

Answer 1

`x = 30.5`

Explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

`C + D = 180`

Supplanting we get:

`(3x-44) + (5x-20) = 180`

We add up the X's.

`8x-44-20 = 180`

`8x-64 = 180`

Then we send 64 to the other side adding:

`8x = 180+64`

`8x = 180+64`

`8x = 244`

And then the 8 goes dividing:

`x = 244 : 8`

`x = 30.5`